Theme: Ratios and Proportions...
  • What is the ratio of consonants to vowels in the english language?
  • How can you tell 7/10 is greater than 1/2
  • Alex built a snowman using three snowballs, one small, one medium and one large, with diameters in the ratio 2:3:5. Although highly unlikely due to the physical properties of snow, suppose the three snowballs were perfectly spherical and stacked vertically, one on top of the other, as shown, with adjacent snowballs sharing a single point of tangency. If the diameter of the medium snowball was 18 inches, what was the maximum height, in feet, of the snowman Alex built using the three snowballs?
  • with this. A rectangular field is 65 meters wide and 105 meters long. Give the length and width of another rectangular field that has the same perimeter but a smaller area.
  • A survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. The ratio of students who took buses to those who took public buses was 4:3. There were 360 more students who walked than took buses. How many students took public buses to school? explain everything you did or just write your equations.
  • A chess player played 20 games total. if he won 2 of the games, what is the ratio of games he lost to games he won?
  • If the radius of the base of the cone, r, is 2 feet and the height, h, is 12 feet, what is the volume of the cone?
  • Luanne made a photocopy of a drawing of a rectangle. The original drawing was 4.5 inches wide and 6 inches long. The copy was 6.75 inches wide and 9 inches long. What was the scale factor for Luanne’s copy?
  • What is FOIL and PEMDAS?
  • Water tank a has a capacity of 550 gallons and is 66 percent full. water tank b is 53 percent full. the ratio of the capacity of tank a to tank b is 11:15A: how much water is in tank A B: what is the capacity of tank BC: how much water is in tank B
  • Mack designed a water fountain with a square pyramid flowing into a cube. The edges of the bases of the pyramid and the cube have the same length and the heights of the pyramid and the cube are the same. Describe the relationship between the volume of the cube and the volume of the pyramid.
  • There were 75 rocks is Boxes A, B, and C. After moving 28 rocks fro Box A to B, 24 rocks from B to C, and 19 rocks from C to A, there was an equal number of rocks in each box. How many rocks were in Box A in the beginning?
  • Recall that the length a spring streches varies directly with the amount of weight attached to it. a certain spring stretches 5cm when a 10-gram weight is attached write a direct variation equation relating the weight x and the amount of stretch y.
  • Recall, \( \pi \) is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, \( \pi \)=c/d. This seems to contradict the fact that \( \pi \) is irrational. How will you resolve this contradiction?
  • What is Rational and Irrational?
  • There are 48 students in a school play. The ratio of boys to girls is 5:7. How many boys are in the school play? Explain how you found your answer
  • Bakery makes two sizes of cheet cake. It takes 2 pounds frosting to cover the small cake. It takes 8 pounds frosting to cover the large cake. if the cakes are similar, how many sizes bigger are the sides of the large cake?
  • Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a mass of 4 kilograms and was lifted at a rate of 3m/sec.
  • Damari inflates a spherical balloon to twice its original radius. Explain to Damari why the surface area is 4 Tims as big when the radius is doubled.
  • Mirandas financial aide stipulates that fer tuition not exceed 1,200 if her college charges $55 regestration fee for the term plus $450 per course what is the greatest number of courses miranda can register for_ answer should be whole number.
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